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Finding the Fourth Proportional to 104,201.64, 156,302.64 and 25,315.92

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Solution

The fourth proportional to 104,201.64, 156,302.64 and 25,315.92 is: 37,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,201.64 : 156,302.64 = 25,315.92 : x
  2. Step 2: Convert to fraction form
    104,201.64/156,302.64 = 25,315.92/x
  3. Step 3: Cross multiply
    104,201.64x = 156,302.64 × 25,315.92
  4. Step 4: Simplify right side
    104,201.64x = 3,956,945,130.03
  5. Step 5: Solve for x
    x = 3,956,945,130.03/104,201.64
  6. Step 6: Final answer
    x = 37,973.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.